2003, English, Article edition: Discrete linear objects in dimension n: the standard model Andres, Eric

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Bookmark: http://trove.nla.gov.au/version/205178
Physical Description
  • text
Published
  • HAL - CCSD
  • 2003
Language
  • English

Edition details

Title
  • Discrete linear objects in dimension n: the standard model
Author
  • Andres, Eric
Published
  • HAL - CCSD
  • 2003
Physical Description
  • text
Subjects
Notes
  • A new analytical description model, called the standard model, for the discretization of Euclidean linear objects (point, m-flat, m-simplex) in dimension n is proposed. The objects are defined analytically by inequalities. This allows a global definition independent of the number of discrete points. A method is provided to compute the analytical description for a given linear object. A discrete standard model has many properties in common with the supercover model from which it derives. However, contrary to supercover objects, a standard object does not have bubbles. A standard object is (n-1)-connected, tunnel-free and bubble-free. The standard model is geometrically consistent. The standard model is well suited for modelling applications.
  • HAL:hal-00354729, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00354729/​en/​
  • DOI:10.1016/​S1524-0703(03)00004-3
Language
  • English
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